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CBSE Class 9 Answered

<div>The answer of one of your question is wrong . The question follows as :</div> <div>The area of three adjacent faces of cuboid is a,b,c and volume of cuboid is V then V= ?</div> <div>the answer given by your site is V=abc.</div> <div>The correct answer is V=<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=f6e8fff7716cad3dd2a5cf5d3a73afff.png" alt="square root of a b c end root" align="middle" />&nbsp;</div> <div>Please clarify.</div>
Asked by Samarth | 02 Jun, 2016, 07:44: PM
Expert Answer
Y e s space y o u space a r e space r i g h t.
P l e a s e space f i n d space t h e space f o l l o w i n g space s o l u t i o n colon
L e t space L comma space B space a n d space H space a r e space t h e space d i m e n s i o n s space o f space t h e space c u b o i d.
G i v e n space t h a t space a comma space b space a n d space c space a r e space t h e space a r e a s space o f space t h e space a d j a c e n t space s i d e s space o f space t h e space c u b o i d
T h u s comma space a equals L cross times B
b equals B cross times H
c equals L cross times H
T h u s comma space a cross times b cross times c equals L cross times B cross times B cross times H cross times L cross times H
rightwards double arrow a cross times b cross times c equals L squared cross times B squared cross times H squared
rightwards double arrow square root of a cross times b cross times c end root equals square root of L squared cross times B squared cross times H squared end root
rightwards double arrow square root of a cross times b cross times c end root equals L cross times B cross times H
W e space k n o w space t h a t space v o l u m e space o f space t h e space c u b o i d space i s space L cross times B cross times H space c u b i c space u n i t s.
T h u s comma space V equals square root of a cross times b cross times c end root space c u b i c space u n i t s
Answered by Vimala | 03 Jun, 2016, 10:08: AM
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